Grossmisma

Interval information

Factorization	2-30 × 3-13 × 5-1 × 7 × 117 × 137
Monzo	[-30 -13 -1 1 7 7⟩
Size in cents	0.016410293¢
Name	grossmisma
Color name	3o71o7zg2, Septholo-azogu comma, Septholo-azogu 2nd
FJS name	[math]\text{7d2}^{7,11,11,11,11,11,11,11,13,13,13,13,13,13,13}_{5}[/math]
Special properties	reduced
Tenney height (log2 nd)	105.853
Weil height (log2 max(n, d))	105.853
Wilson height (sopfr(nd))	279
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.19982 bits
Comma size	unnoticeable
open this interval in xen-calc

Not to be confused with Grossma.

The grossmisma is an unnoticeable 13-limit comma with a ratio of 2^-30 × 3^-13 × 5^-1 × 7 × 11⁷ × 13⁷ = 8559537565427849/8559456430325760 and a value of approximately 0.0164 cents. The grossmisma is significant on account of it being the interval between a stack of seven grossmas and one 21/20 chromatic semitone in Just Intonation - this significance in relation to grossma being the source of its name. Tempering it out leads to a form of grossmismic temperament.